Least Common Multiple of 2578 and 2580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2578 and 2580 the smallest integer that is 3325620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2578 and 2580 is 3325620.

LCM(2578,2580) = 3325620

LCM of 2578 and 2580

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2578 and 2580

LCM of 2578 and 2580 is 3325620

Least common multiple can be found by multiplying the highest exponent prime factors of 2578 and 2580. First we will calculate the prime factors of 2578 and 2580.

Prime Factorization of 2578


2 2578
1289 1289
1

Prime factors of 2578 are 2,1289. Prime factorization of 2578 in exponential form is:

2578 = 21×12891

Prime Factorization of 2580


2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 2580 are 2, 3, 5,43. Prime factorization of 2580 in exponential form is:

2580 = 22×31×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2578 and 2580.

LCM(2578,2580) = 22×31×51×431×12891
LCM(2578,2580) = 3325620

Factors of 2578

List of positive integer factors of 2578 that divides 2578 without a remainder.

1, 2, 1289, 2578

Factors of 2580

List of positive integer factors of 2580 that divides 2580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580

Least Common Multiple of 2578 and 2580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2578 and 2580, than apply into the LCM equation.

GCF(2578,2580) = 2
LCM(2578,2580) = ( 2578 × 2580) / 2
LCM(2578,2580) = 6651240 / 2
LCM(2578,2580) = 3325620

Properties of LCM 2578 and 2580

(i) The LCM of 2580 and 2578 is associative

LCM of 2578 and 2580 = LCM of 2580 and 2578

Related Least Common Multiples of 2578

Related Least Common Multiples of 2580

Frequently Asked Questions on LCM of 2578 and 2580

1. What is the LCM of 2578 and 2580?

Answer: LCM of 2578 and 2580 is 3325620.

2. What are the Factors of 2578?

Answer: Factors of 2578 are 1, 2, 1289, 2578. There are 4 integers that are factors of 2578. The greatest factor of 2578 is 2578.

3. What are the Factors of 2580?

Answer: Factors of 2580 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580. There are 24 integers that are factors of 2580. The greatest factor of 2580 is 2580.

4. How to Find the LCM of 2578 and 2580?

Answer:

Least Common Multiple of 2578 and 2580 = 3325620

Step 1: Find the prime factorization of 2578

2578 = 2 x 1289

Step 2: Find the prime factorization of 2580

2580 = 2 x 2 x 3 x 5 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3325620 = 2 x 2 x 3 x 5 x 43 x 1289

Step 4: Therefore, the least common multiple of 2578 and 2580 is 3325620.